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Finding the Fourth Proportional to 865.06, 1,297.54 and 280.05

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Solution

The fourth proportional to 865.06, 1,297.54 and 280.05 is: 420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.06 : 1,297.54 = 280.05 : x
  2. Step 2: Convert to fraction form
    865.06/1,297.54 = 280.05/x
  3. Step 3: Cross multiply
    865.06x = 1,297.54 × 280.05
  4. Step 4: Simplify right side
    865.06x = 363,375.38
  5. Step 5: Solve for x
    x = 363,375.38/865.06
  6. Step 6: Final answer
    x = 420.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.